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Evgesh-ka [11]
2 years ago
10

What is 3 (x-6) +2 ≥ 5x - 4

Mathematics
2 answers:
Stells [14]2 years ago
8 0

Answer:

-6 <u>></u> x

Step-by-step explanation:

3 (x-6) +2 ≥ 5x - 4

3x-18 + 2 <u>></u> 5x - 4

3x - 18 <u>></u> 5x - 6

-18 <u>></u> 2x - 6

-12 <u>></u> 2x

-6 <u>> </u>x

astraxan [27]2 years ago
6 0

Answer:

x ≤ -6

Step-by-step explanation:

Distribute 3 through the paraentheses:

3(x - 6) + 2 ≥ 5x - 4

    ↓

3x - 18 + 2 ≥ 5x - 4

Calculate the sum:

3x - 18 + 2 ≥ 5x - 4

       ↓

3x - 16 ≥ 5x - 4

Move the variable (5x) to the left-hand side and change its sign:

3x - 16 ≥ 5x - 4

          ↓

3x -5x - 16 ≥ - 4

Move the constant (- 16) to the right-hand side and change its sign:

3x -5x - 16 ≥ - 4

          ↓

3x - 5x ≥ - 4 + 16

Collect like terms (3x and - 5x):

3x - 5x ≥ - 4 + 16

           ↓

-2x ≥ - 4 + 16

Calculate the sum:

-2x ≥ - 4 + 16

         ↓

-2x ≥ 12

Divide both sides of the inequality by -2 and flip the inequality sign:

x ≤ -6

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stealth61 [152]

Answer:

6-2=4

31/5 x 8 = 248/40

15/8 x 5 = 75/40

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4 13/40

answers in order

6-2=4

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Hope this helps

Step-by-step explanation:

8 0
2 years ago
The miles-per-gallon rating of passenger cars is a normally distributed random variable with a mean of 33.8 mpg and a standard d
EleoNora [17]

Answer:

The probability that a randomly selected passenger car gets more than 37.3 mpg is 0.1587.

Step-by-step explanation:

Let the random variable <em>X</em> represent the miles-per-gallon rating of passenger cars.

It is provided that X\sim N(\mu=33.8,\ \sigma^{2}=3.5^{2}).

Compute the probability that a randomly selected passenger car gets more than 37.3 mpg as follows:

P(X>37.3)=P(\frac{X-\mu}{\sigma}>\frac{37.3-33.8}{3.5})

                   =P(Z>1)\\\\=1-P(Z

Thus, the probability that a randomly selected passenger car gets more than 37.3 mpg is 0.1587.

7 0
2 years ago
A jet flies at an altitude of 52,800 feet. What is the height of thejet in miles?
Galina-37 [17]
The height of the jet in miles is 10 miles. There are 5280 feet in a mile, so you would divide 52800 by 5280 and get 10 miles.
8 0
3 years ago
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What is the area of this composite shape?<br> Enter your answer in the box.
bonufazy [111]

Answer:

The answer to your question is:  53 in²

Step-by-step explanation:

Area = ?

Process: divide the shape in one rectangle and one triangle.

Area of rectangle

                            A = base x height

                            A = 8 x 6

                            A = 48 in²

Area of rectangle

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                                   = 5 in

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                                     = 2 in

                          Area = (b x h) / 2

                                   = (5 x 2) / 2

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                                   = 5 in²

Total area = 48 + 5 = 53 in²

3 0
3 years ago
A mechanic charged $320.28 to repair a car. The price included charges for 3 hours of labor and $115.46 for parts. How much does
Viefleur [7K]

Answer:

$68.27 for 1 hour

Step-by-step explanation:

$320.28 - $115.46 = $204.82

$204.82 / 3 hours of labour = $68.27 for 1 hour

4 0
3 years ago
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